GCF of 7281/221, 1266/3278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7281/221, 1266/3278 i.e 3/724438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7281/221, 1266/3278.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7281/221,1266/3278?
Given fractions are 7281/221,1266/3278
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 7281/221,1266/3278, numerators are 7281,1266
Denominators are 221,3278
The GCF of 7281,1266 is 3 .
LCM of 221,3278 is 724438.
The greatest common factor of 7281/221,1266/3278 = [GCF of 7281,1266]/[LCM of 221,3278]= 3/724438
Therefore, the GCF of 7281/221,1266/3278 is 3/724438.
To find the highest common factor of 7281,1266, we have to find the factors of both numbers and list the highest common factor.
The factors of 7281 are 1, 3, 9, 809, 2427, 7281
The factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266
The HCF of 7281,1266 is 3.
Lets's calculate GCF of 7281,1266
| 3 | 7281, 1266 |
| 2427, 422 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7281,1266 By Matching Biggest Common Factor Method
Now, list down the factors of 7281
:1,3,9,809,2427,7281
Now, list down the factors of 1266
:1,2,3,6,211,422,633,1266
Greatest Common Factor
We found the factors 7281,1266 . The biggest common factor number is the GCF number.
So the greatest common factor 7281,1266 is 3.
Lets's calculate LCM of 221,3278
Given numbers has no common factors except 1. So, there LCM is their product i.e 724438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/724438
Therefore, the GCF of Fractions 7281/221,1266/3278 is 3/724438
Least Common Multiple of 221,3278 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 221,3278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,3278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,3278) x common factors =1 x 1 = 1
LCM(221,3278) = ( 221 × 3278 ) / 1
LCM(221,3278) = 724438 / 1
LCM(221,3278) = 724438
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7281/221, 1266/3278
1. What is the HCF of 7281,1266?
The HCF of 7281,1266 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 7281/221, 1266/3278?
Answer: GCF of Numerators as per given numbers 7281/221, 1266/3278 is
GCF of Numerators i.e. for 7281,1266 is 3
LCM of denominators i.e. for 221,3278 is 724438.
Thus, GCF of Fractions is 3/724438.Finally, GCF of Fractions for 7281/221, 1266/3278 is 3/724438.